132653513125633 has 2 divisors, whose sum is σ = 132653513125634. Its totient is φ = 132653513125632.

The previous prime is 132653513125517. The next prime is 132653513125663. The reversal of 132653513125633 is 336521315356231.

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., 85467288501904 + 47186224623729 = 9244852^2 + 6869223^2 .

It is a cyclic number.

It is not a de Polignac number, because 132653513125633 - 2¹³ = 132653513117441 is a prime.

It is a super-2 number, since 2×132653513125633² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (132653513125663) 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, 66326756562816 + 66326756562817.

It is an arithmetic number, because the mean of its divisors is an integer number (66326756562817).

Almost surely, 2^{132653513125633} is an apocalyptic number.

It is an amenable number.

132653513125633 is a deficient number, since it is larger than the sum of its proper divisors (1).

132653513125633 is an equidigital number, since it uses as much as digits as its factorization.

132653513125633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374000, while the sum is 49.

The spelling of 132653513125633 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred thirteen million, one hundred twenty-five thousand, six hundred thirty-three".