35725134093013 has 2 divisors, whose sum is σ = 35725134093014. Its totient is φ = 35725134093012.

The previous prime is 35725134092957. The next prime is 35725134093017. The reversal of 35725134093013 is 31039043152753.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29371392133444 + 6353741959569 = 5419538^2 + 2520663^2 .

It is a cyclic number.

It is not a de Polignac number, because 35725134093013 - 2¹³ = 35725134084821 is a prime.

It is a super-2 number, since 2×35725134093013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35725134093017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17862567046506 + 17862567046507.

It is an arithmetic number, because the mean of its divisors is an integer number (17862567046507).

Almost surely, 2^{35725134093013} is an apocalyptic number.

It is an amenable number.

35725134093013 is a deficient number, since it is larger than the sum of its proper divisors (1).

35725134093013 is an equidigital number, since it uses as much as digits as its factorization.

35725134093013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1020600, while the sum is 46.

The spelling of 35725134093013 in words is "thirty-five trillion, seven hundred twenty-five billion, one hundred thirty-four million, ninety-three thousand, thirteen".