506154455461325 has 144 divisors (see below), whose sum is σ = 765257896252800. Its totient is φ = 328168710144000.

The previous prime is 506154455461313. The next prime is 506154455461379. The reversal of 506154455461325 is 523164554451605.

It is not a de Polignac number, because 506154455461325 - 2⁴ = 506154455461309 is a prime.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 11595993101 + ... + 11596036749.

It is an arithmetic number, because the mean of its divisors is an integer number (5314290946200).

Almost surely, 2^{506154455461325} is an apocalyptic number.

506154455461325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506154455461325 is a deficient number, since it is larger than the sum of its proper divisors (259103440791475).

506154455461325 is a wasteful number, since it uses less digits than its factorization.

506154455461325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50596 (or 50572 counting only the distinct ones).

The product of its (nonzero) digits is 43200000, while the sum is 56.

The spelling of 506154455461325 in words is "five hundred six trillion, one hundred fifty-four billion, four hundred fifty-five million, four hundred sixty-one thousand, three hundred twenty-five".