971016314541 has 64 divisors (see below), whose sum is σ = 1611876672000. Its totient is φ = 506269310976.

The previous prime is 971016314537. The next prime is 971016314573. The reversal of 971016314541 is 145413610179.

It is a happy number.

It is not a de Polignac number, because 971016314541 - 2² = 971016314537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 971016314493 and 971016314502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971016314501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150565285 + ... + 150571733.

It is an arithmetic number, because the mean of its divisors is an integer number (25185573000).

Almost surely, 2^971016314541 is an apocalyptic number.

971016314541 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

971016314541 is a deficient number, since it is larger than the sum of its proper divisors (640860357459).

971016314541 is a wasteful number, since it uses less digits than its factorization.

971016314541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12758.

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 971016314541 in words is "nine hundred seventy-one billion, sixteen million, three hundred fourteen thousand, five hundred forty-one".