1295053920 has 192 divisors, whose sum is σ = 4589887680. Its totient is φ = 345254400.

The previous prime is 1295053901. The next prime is 1295053937. The reversal of 1295053920 is 293505921.

It is a happy number.

1295053920 is a `hidden beast` number, since 12 + 95 + 0 + 539 + 20 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348070 + ... + 351770.

It is an arithmetic number, because the mean of its divisors is an integer number (23905665).

Almost surely, 2^1295053920 is an apocalyptic number.

1295053920 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 1295053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294943840).

1295053920 is an abundant number, since it is smaller than the sum of its proper divisors (3294833760).

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

1295053920 is an frugal number, since it uses more digits than its factorization.

1295053920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 1295053920 is about 35986.8576010743. The cubic root of 1295053920 is about 1090.0069915103.

The spelling of 1295053920 in words is "one billion, two hundred ninety-five million, fifty-three thousand, nine hundred twenty".