516977370 has 256 divisors, whose sum is σ = 1733114880. Its totient is φ = 106748928.

The previous prime is 516977353. The next prime is 516977387. The reversal of 516977370 is 73779615.

It is an interprime number because it is at equal distance from previous prime (516977353) and next prime (516977387).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1302012 + ... + 1302408.

It is an arithmetic number, because the mean of its divisors is an integer number (6769980).

Almost surely, 2^516977370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516977370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866557440).

516977370 is an abundant number, since it is smaller than the sum of its proper divisors (1216137510).

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

516977370 is a wasteful number, since it uses less digits than its factorization.

516977370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 516977370 is about 22737.1363632275. The cubic root of 516977370 is about 802.5840247420.

The spelling of 516977370 in words is "five hundred sixteen million, nine hundred seventy-seven thousand, three hundred seventy".