1010564155601 has 48 divisors (see below), whose sum is σ = 1371989883264. Its totient is φ = 724290336000.

The previous prime is 1010564155577. The next prime is 1010564155649. The reversal of 1010564155601 is 1065514650101.

It is a happy number.

It is not a de Polignac number, because 1010564155601 - 2³⁰ = 1009490413777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010564155681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2930786 + ... + 3257396.

It is an arithmetic number, because the mean of its divisors is an integer number (28583122568).

Almost surely, 2^{1010564155601} is an apocalyptic number.

1010564155601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010564155601 is a deficient number, since it is larger than the sum of its proper divisors (361425727663).

1010564155601 is a wasteful number, since it uses less digits than its factorization.

1010564155601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326934 (or 326923 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 35.

The spelling of 1010564155601 in words is "one trillion, ten billion, five hundred sixty-four million, one hundred fifty-five thousand, six hundred one".