157609376449001 has 2 divisors, whose sum is σ = 157609376449002. Its totient is φ = 157609376449000.

The previous prime is 157609376448967. The next prime is 157609376449027. The reversal of 157609376449001 is 100944673906751.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145914344409001 + 11695032040000 = 12079501^2 + 3419800^2 .

It is a cyclic number.

It is not a de Polignac number, because 157609376449001 - 2³⁴ = 157592196579817 is a prime.

It is a super-2 number, since 2×157609376449001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (157609376440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78804688224500 + 78804688224501.

It is an arithmetic number, because the mean of its divisors is an integer number (78804688224501).

Almost surely, 2^{157609376449001} is an apocalyptic number.

It is an amenable number.

157609376449001 is a deficient number, since it is larger than the sum of its proper divisors (1).

157609376449001 is an equidigital number, since it uses as much as digits as its factorization.

157609376449001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34292160, while the sum is 62.

The spelling of 157609376449001 in words is "one hundred fifty-seven trillion, six hundred nine billion, three hundred seventy-six million, four hundred forty-nine thousand, one".