1072775991001 has 27 divisors (see below), whose sum is σ = 1277025783327. Its totient is φ = 900107310960.

The previous prime is 1072775990989. The next prime is 1072775991017. The reversal of 1072775991001 is 1001995772701.

The square root of 1072775991001 is 1035749.

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., 158694673225 + 914081317776 = 398365^2 + 956076^2 .

It is not a de Polignac number, because 1072775991001 - 2¹⁷ = 1072775859929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1072775991041) 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, 148108486 + ... + 148115728.

Almost surely, 2^{1072775991001} is an apocalyptic number.

1072775991001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1072775991001 is the 1035749-th square number.

1072775991001 is the 517875-th centered octagonal number.

It is an amenable number.

1072775991001 is a deficient number, since it is larger than the sum of its proper divisors (204249792326).

1072775991001 is an frugal number, since it uses more digits than its factorization.

1072775991001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14534 (or 7267 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 49.

Multiplying 1072775991001 by its sum of digits (49), we get a square (52566023559049 = 7250243²).

The spelling of 1072775991001 in words is "one trillion, seventy-two billion, seven hundred seventy-five million, nine hundred ninety-one thousand, one".