752314641105213 has 20 divisors (see below), whose sum is σ = 1123834990231008. Its totient is φ = 501539994153000.

The previous prime is 752314641105163. The next prime is 752314641105221. The reversal of 752314641105213 is 312501146413257.

752314641105213 is a `hidden beast` number, since 7 + 5 + 2 + 3 + 1 + 4 + 6 + 4 + 110 + 521 + 3 = 666.

It is not a de Polignac number, because 752314641105213 - 2¹⁶ = 752314641039677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752314641105263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15479481 + ... + 41764142.

Almost surely, 2^{752314641105213} is an apocalyptic number.

It is an amenable number.

752314641105213 is a deficient number, since it is larger than the sum of its proper divisors (371520349125795).

752314641105213 is a wasteful number, since it uses less digits than its factorization.

752314641105213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57405886 (or 57405877 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 752314641105213 in words is "seven hundred fifty-two trillion, three hundred fourteen billion, six hundred forty-one million, one hundred five thousand, two hundred thirteen".