1295481591 has 24 divisors (see below), whose sum is σ = 1937520000. Its totient is φ = 833122752.

The previous prime is 1295481589. The next prime is 1295481613. The reversal of 1295481591 is 1951845921.

1295481591 is a `hidden beast` number, since 1 + 2 + 9 + 54 + 8 + 1 + 591 = 666.

It is not a de Polignac number, because 1295481591 - 2¹ = 1295481589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295481091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538810 + ... + 541208.

It is an arithmetic number, because the mean of its divisors is an integer number (80730000).

Almost surely, 2^1295481591 is an apocalyptic number.

1295481591 is a deficient number, since it is larger than the sum of its proper divisors (642038409).

1295481591 is a wasteful number, since it uses less digits than its factorization.

1295481591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4500 counting only the distinct ones).

The product of its digits is 129600, while the sum is 45.

The square root of 1295481591 is about 35992.7991548310. The cubic root of 1295481591 is about 1090.1269641405.

The spelling of 1295481591 in words is "one billion, two hundred ninety-five million, four hundred eighty-one thousand, five hundred ninety-one".