1072051089201 has 9 divisors (see below), whose sum is σ = 1548522726699. Its totient is φ = 714698655336.

The previous prime is 1072051089199. The next prime is 1072051089217. The reversal of 1072051089201 is 1029801502701.

It is a happy number.

The square root of 1072051089201 is 1035399.

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., 18710136225 + 1053340952976 = 136785^2 + 1026324^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1072051089201 - 2¹ = 1072051089199 is a prime.

It is a super-2 number, since 2×1072051089201² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072051088201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2933631 + ... + 3278763.

Almost surely, 2^{1072051089201} is an apocalyptic number.

1072051089201 is the 1035399-th square number.

1072051089201 is the 517700-th centered octagonal number.

It is an amenable number.

1072051089201 is a deficient number, since it is larger than the sum of its proper divisors (476471637498).

1072051089201 is an frugal number, since it uses more digits than its factorization.

1072051089201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690272 (or 345136 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Multiplying 1072051089201 by its sum of digits (36), we get a square (38593839211236 = 6212394²).

The spelling of 1072051089201 in words is "one trillion, seventy-two billion, fifty-one million, eighty-nine thousand, two hundred one".