35970183813101 has 12 divisors (see below), whose sum is σ = 37254686800500. Its totient is φ = 34728545109888.

The previous prime is 35970183813079. The next prime is 35970183813149. The reversal of 35970183813101 is 10131838107953.

It can be written as a sum of positive squares in 6 ways, for example, as 6719112015625 + 29251071797476 = 2592125^2 + 5408426^2 .

It is a de Polignac number, because none of the positive numbers 2^k-35970183813101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 35970183813101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35970183813601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22305515 + ... + 23863703.

It is an arithmetic number, because the mean of its divisors is an integer number (3104557233375).

Almost surely, 2^{35970183813101} is an apocalyptic number.

It is an amenable number.

35970183813101 is a deficient number, since it is larger than the sum of its proper divisors (1284502987399).

35970183813101 is a wasteful number, since it uses less digits than its factorization.

35970183813101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585696 (or 1585667 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 50.

The spelling of 35970183813101 in words is "thirty-five trillion, nine hundred seventy billion, one hundred eighty-three million, eight hundred thirteen thousand, one hundred one".