507321297252 has 672 divisors, whose sum is σ = 1764553190400. Its totient is φ = 123577747200.

The previous prime is 507321297251. The next prime is 507321297277. The reversal of 507321297252 is 252792123705.

507321297252 is a `hidden beast` number, since 50 + 7 + 321 + 29 + 7 + 252 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 507321297198 and 507321297207.

It is not an unprimeable number, because it can be changed into a prime (507321297251) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 465005227 + ... + 465006317.

It is an arithmetic number, because the mean of its divisors is an integer number (2625823200).

Almost surely, 2^507321297252 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 507321297252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882276595200).

507321297252 is an abundant number, since it is smaller than the sum of its proper divisors (1257231893148).

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

507321297252 is a wasteful number, since it uses less digits than its factorization.

507321297252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 507321297252 in words is "five hundred seven billion, three hundred twenty-one million, two hundred ninety-seven thousand, two hundred fifty-two".