516577152 has 128 divisors (see below), whose sum is σ = 1688924160. Its totient is φ = 136230912.

The previous prime is 516577151. The next prime is 516577153. The reversal of 516577152 is 251775615.

It is an interprime number because it is at equal distance from previous prime (516577151) and next prime (516577153).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×516577152² = 533703907936862208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 516577152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516577151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27553 + ... + 42335.

It is an arithmetic number, because the mean of its divisors is an integer number (13194720).

Almost surely, 2^516577152 is an apocalyptic number.

516577152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516577152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844462080).

516577152 is an abundant number, since it is smaller than the sum of its proper divisors (1172347008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516577152 is a wasteful number, since it uses less digits than its factorization.

516577152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14820 (or 14808 counting only the distinct ones).

The product of its digits is 73500, while the sum is 39.

The square root of 516577152 is about 22728.3336828726. Note that the first 3 decimals coincide. The cubic root of 516577152 is about 802.3768644836.

The spelling of 516577152 in words is "five hundred sixteen million, five hundred seventy-seven thousand, one hundred fifty-two".