514525120 has 56 divisors (see below), whose sum is σ = 1227417408. Its totient is φ = 205440000.

The previous prime is 514525103. The next prime is 514525147. The reversal of 514525120 is 21525415.

It is a super-2 number, since 2×514525120² = 529472198222028800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239250 + ... + 241390.

It is an arithmetic number, because the mean of its divisors is an integer number (21918168).

Almost surely, 2^514525120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613708704).

514525120 is an abundant number, since it is smaller than the sum of its proper divisors (712892288).

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

514525120 is a wasteful number, since it uses less digits than its factorization.

514525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 514525120 is about 22683.1461662619. The cubic root of 514525120 is about 801.3130104920.

The spelling of 514525120 in words is "five hundred fourteen million, five hundred twenty-five thousand, one hundred twenty".