42125454252315 has 256 divisors, whose sum is σ = 94104933027840. Its totient is φ = 17440256655360.

The previous prime is 42125454252227. The next prime is 42125454252317. The reversal of 42125454252315 is 51325245452124.

42125454252315 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 54 + 542 + 52 + 3 + 1 + 5 = 666.

It is not a de Polignac number, because 42125454252315 - 2¹⁰ = 42125454251291 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 (42125454252317) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47644492 + ... + 48520598.

It is an arithmetic number, because the mean of its divisors is an integer number (367597394640).

Almost surely, 2^{42125454252315} is an apocalyptic number.

42125454252315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42125454252315 is an abundant number, since it is smaller than the sum of its proper divisors (51979478775525).

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

42125454252315 is a wasteful number, since it uses less digits than its factorization.

42125454252315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876259 (or 876253 counting only the distinct ones).

The product of its digits is 1920000, while the sum is 45.

The spelling of 42125454252315 in words is "forty-two trillion, one hundred twenty-five billion, four hundred fifty-four million, two hundred fifty-two thousand, three hundred fifteen".