514403252256 has 96 divisors (see below), whose sum is σ = 1380348684288. Its totient is φ = 167660064000.

The previous prime is 514403252197. The next prime is 514403252287. The reversal of 514403252256 is 652252304415.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×514403252256² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4742631 + ... + 4849881.

It is an arithmetic number, because the mean of its divisors is an integer number (14378632128).

Almost surely, 2^514403252256 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 514403252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690174342144).

514403252256 is an abundant number, since it is smaller than the sum of its proper divisors (865945432032).

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

514403252256 is a wasteful number, since it uses less digits than its factorization.

514403252256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108374 (or 108366 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 514403252256 in words is "five hundred fourteen billion, four hundred three million, two hundred fifty-two thousand, two hundred fifty-six".