1295634123315 has 192 divisors, whose sum is σ = 2822829834240. Its totient is φ = 536676940800.

The previous prime is 1295634123253. The next prime is 1295634123319. The reversal of 1295634123315 is 5133214365921.

1295634123315 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 634 + 1 + 2 + 3 + 3 + 1 + 5 = 666.

It is not a de Polignac number, because 1295634123315 - 2¹⁵ = 1295634090547 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1295634123319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11077390 + ... + 11193740.

It is an arithmetic number, because the mean of its divisors is an integer number (14702238720).

Almost surely, 2^{1295634123315} is an apocalyptic number.

1295634123315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1295634123315 is an abundant number, since it is smaller than the sum of its proper divisors (1527195710925).

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

1295634123315 is a wasteful number, since it uses less digits than its factorization.

1295634123315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116474 (or 116471 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 1295634123315 in words is "one trillion, two hundred ninety-five billion, six hundred thirty-four million, one hundred twenty-three thousand, three hundred fifteen".