507628521040 has 80 divisors (see below), whose sum is σ = 1250713230480. Its totient is φ = 191267901440.

The previous prime is 507628521007. The next prime is 507628521047. The reversal of 507628521040 is 40125826705.

It can be written as a sum of positive squares in 8 ways, for example, as 9480527424 + 498147993616 = 97368^2 + 705796^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 507628520984 and 507628521002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507628521047) 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, 2573239 + ... + 2763478.

It is an arithmetic number, because the mean of its divisors is an integer number (15633915381).

Almost surely, 2^507628521040 is an apocalyptic number.

It is an amenable number.

507628521040 is an abundant number, since it is smaller than the sum of its proper divisors (743084709440).

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

507628521040 is a wasteful number, since it uses less digits than its factorization.

507628521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336800 (or 5336794 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 507628521040 in words is "five hundred seven billion, six hundred twenty-eight million, five hundred twenty-one thousand, forty".