1295251920 has 120 divisors (see below), whose sum is σ = 4490284032. Its totient is φ = 334252800.

The previous prime is 1295251873. The next prime is 1295251939. The reversal of 1295251920 is 291525921.

It is a happy number.

1295251920 is a `hidden beast` number, since 129 + 525 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6696 + ... + 51335.

Almost surely, 2^1295251920 is an apocalyptic number.

1295251920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1295251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245142016).

1295251920 is an abundant number, since it is smaller than the sum of its proper divisors (3195032112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1295251920 is a wasteful number, since it uses less digits than its factorization.

1295251920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58081 (or 58072 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1295251920 is about 35989.6085002324. The cubic root of 1295251920 is about 1090.0625388465.

The spelling of 1295251920 in words is "one billion, two hundred ninety-five million, two hundred fifty-one thousand, nine hundred twenty".