256507124117541 has 8 divisors (see below), whose sum is σ = 373101271443744. Its totient is φ = 155458863101520.

The previous prime is 256507124117483. The next prime is 256507124117579. The reversal of 256507124117541 is 145711421705652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 256507124117541 - 2¹⁰ = 256507124116517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256507124117941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3886471577506 + ... + 3886471577571.

It is an arithmetic number, because the mean of its divisors is an integer number (46637658930468).

Almost surely, 2^{256507124117541} is an apocalyptic number.

It is an amenable number.

256507124117541 is a deficient number, since it is larger than the sum of its proper divisors (116594147326203).

256507124117541 is a wasteful number, since it uses less digits than its factorization.

256507124117541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772943155091.

The product of its (nonzero) digits is 2352000, while the sum is 51.

The spelling of 256507124117541 in words is "two hundred fifty-six trillion, five hundred seven billion, one hundred twenty-four million, one hundred seventeen thousand, five hundred forty-one".