1901362452201 has 45 divisors (see below), whose sum is σ = 2854971926631. Its totient is φ = 1261063807056.

The previous prime is 1901362452179. The next prime is 1901362452211. The reversal of 1901362452201 is 1022542631091.

The square root of 1901362452201 is 1378899.

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

1901362452201 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 3 + 624 + 5 + 2 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1395585459801 + 505776992400 = 1181349^2 + 711180^2 .

It is not a de Polignac number, because 1901362452201 - 2²¹ = 1901360355049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1901362452211) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4331121540 + ... + 4331121978.

Almost surely, 2^{1901362452201} is an apocalyptic number.

1901362452201 is the 1378899-th square number.

1901362452201 is the 689450-th centered octagonal number.

It is an amenable number.

1901362452201 is a deficient number, since it is larger than the sum of its proper divisors (953609474430).

1901362452201 is an frugal number, since it uses more digits than its factorization.

1901362452201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 1901362452201 by its sum of digits (36), we get a square (68449048279236 = 8273394²).

The spelling of 1901362452201 in words is "one trillion, nine hundred one billion, three hundred sixty-two million, four hundred fifty-two thousand, two hundred one".