25321402129 has 9 divisors (see below), whose sum is σ = 25469774971. Its totient is φ = 25173891400.

The previous prime is 25321402111. The next prime is 25321402147. The reversal of 25321402129 is 92120412352.

The square root of 25321402129 is 159127.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (25321402111) and next prime (25321402147).

It can be written as a sum of positive squares in only one way, i.e., 21838041729 + 3483360400 = 147777^2 + 59020^2 .

It is a de Polignac number, because none of the positive numbers 2^k-25321402129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25321402129.

It is not an unprimeable number, because it can be changed into a prime (25321402159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36121479 + ... + 36122179.

Almost surely, 2^25321402129 is an apocalyptic number.

25321402129 is the 159127-th square number.

25321402129 is the 79564-th centered octagonal number.

It is an amenable number.

25321402129 is a deficient number, since it is larger than the sum of its proper divisors (148372842).

25321402129 is an frugal number, since it uses more digits than its factorization.

25321402129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 25321402129 in words is "twenty-five billion, three hundred twenty-one million, four hundred two thousand, one hundred twenty-nine".