10187261679001 has 27 divisors (see below), whose sum is σ = 11267425255359. Its totient is φ = 9203727416400.

The previous prime is 10187261678987. The next prime is 10187261679011. The reversal of 10187261679001 is 10097616278101.

The square root of 10187261679001 is 3191749.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7828518606601 + 2358743072400 = 2797949^2 + 1535820^2 .

It is not a de Polignac number, because 10187261679001 - 2⁵ = 10187261678969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10187261679011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6284552971 + ... + 6284554591.

Almost surely, 2^{10187261679001} is an apocalyptic number.

10187261679001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10187261679001 is the 3191749-th square number.

10187261679001 is the 1595875-th centered octagonal number.

It is an amenable number.

10187261679001 is a deficient number, since it is larger than the sum of its proper divisors (1080163576358).

10187261679001 is an frugal number, since it uses more digits than its factorization.

10187261679001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 49.

Multiplying 10187261679001 by its sum of digits (49), we get a square (499175822271049 = 22342243²).

The spelling of 10187261679001 in words is "ten trillion, one hundred eighty-seven billion, two hundred sixty-one million, six hundred seventy-nine thousand, one".