1953897956761 has 9 divisors (see below), whose sum is σ = 1962065743743. Its totient is φ = 1945764048000.

The previous prime is 1953897956713. The next prime is 1953897956767. The reversal of 1953897956761 is 1676597983591.

The square root of 1953897956761 is 1397819.

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., 353571755161 + 1600326201600 = 594619^2 + 1265040^2 .

It is not a de Polignac number, because 1953897956761 - 2¹⁵ = 1953897923993 is a prime.

It is a super-2 number, since 2×1953897956761² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1953897956767) 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, 350849785 + ... + 350855353.

Almost surely, 2^{1953897956761} is an apocalyptic number.

1953897956761 is the 1397819-th square number.

1953897956761 is the 698910-th centered octagonal number.

It is an amenable number.

1953897956761 is a deficient number, since it is larger than the sum of its proper divisors (8167786982).

1953897956761 is an frugal number, since it uses more digits than its factorization.

1953897956761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11640 (or 5820 counting only the distinct ones).

The product of its digits is 771573600, while the sum is 76.

The spelling of 1953897956761 in words is "one trillion, nine hundred fifty-three billion, eight hundred ninety-seven million, nine hundred fifty-six thousand, seven hundred sixty-one".