753138404831357 has 2 divisors, whose sum is σ = 753138404831358. Its totient is φ = 753138404831356.

The previous prime is 753138404831347. The next prime is 753138404831383.

753138404831357 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 417992668427161 + 335145736404196 = 20444869^2 + 18306986^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 753138404831357 - 2²⁸ = 753138136395901 is a prime.

It is a super-2 number, since 2×753138404831357² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 753138404831357.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (753138404831327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 376569202415678 + 376569202415679.

It is an arithmetic number, because the mean of its divisors is an integer number (376569202415679).

Almost surely, 2^{753138404831357} is an apocalyptic number.

It is an amenable number.

753138404831357 is a deficient number, since it is larger than the sum of its proper divisors (1).

753138404831357 is an equidigital number, since it uses as much as digits as its factorization.

753138404831357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 101606400, while the sum is 62.

The spelling of 753138404831357 in words is "seven hundred fifty-three trillion, one hundred thirty-eight billion, four hundred four million, eight hundred thirty-one thousand, three hundred fifty-seven".