1295900090641 has 16 divisors (see below), whose sum is σ = 1418534430208. Its totient is φ = 1176546254400.

The previous prime is 1295900090627. The next prime is 1295900090647. The reversal of 1295900090641 is 1460900095921.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1295900090641 - 2³⁵ = 1261540352273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1295900090591 and 1295900090600.

It is not an unprimeable number, because it can be changed into a prime (1295900090647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26835580 + ... + 26883826.

It is an arithmetic number, because the mean of its divisors is an integer number (88658401888).

Almost surely, 2^{1295900090641} is an apocalyptic number.

It is an amenable number.

1295900090641 is a deficient number, since it is larger than the sum of its proper divisors (122634339567).

1295900090641 is a wasteful number, since it uses less digits than its factorization.

1295900090641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82192.

The product of its (nonzero) digits is 174960, while the sum is 46.

The spelling of 1295900090641 in words is "one trillion, two hundred ninety-five billion, nine hundred million, ninety thousand, six hundred forty-one".