77532800253001 has 2 divisors, whose sum is σ = 77532800253002. Its totient is φ = 77532800253000.

The previous prime is 77532800252939. The next prime is 77532800253043. The reversal of 77532800253001 is 10035200823577.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77378429843001 + 154370410000 = 8796501^2 + 392900^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77532800253001 is a prime.

It is a super-2 number, since 2×77532800253001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (77532800053001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38766400126500 + 38766400126501.

It is an arithmetic number, because the mean of its divisors is an integer number (38766400126501).

Almost surely, 2^{77532800253001} is an apocalyptic number.

It is an amenable number.

77532800253001 is a deficient number, since it is larger than the sum of its proper divisors (1).

77532800253001 is an equidigital number, since it uses as much as digits as its factorization.

77532800253001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 77532800253001 in words is "seventy-seven trillion, five hundred thirty-two billion, eight hundred million, two hundred fifty-three thousand, one".