1651741610401 has 9 divisors (see below), whose sum is σ = 1659879383409. Its totient is φ = 1643643558900.

The previous prime is 1651741610377. The next prime is 1651741610483. The reversal of 1651741610401 is 1040161471561.

The square root of 1651741610401 is 1285201.

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

It is not a de Polignac number, because 1651741610401 - 2³⁵ = 1617381872033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1651741610201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 271174366 + ... + 271180456.

It is an arithmetic number, because the mean of its divisors is an integer number (184431042601).

Almost surely, 2^{1651741610401} is an apocalyptic number.

1651741610401 is the 1285201-st square number.

1651741610401 is the 642601-st centered octagonal number.

It is an amenable number.

1651741610401 is a deficient number, since it is larger than the sum of its proper divisors (8137773008).

1651741610401 is an frugal number, since it uses more digits than its factorization.

1651741610401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 1651741610401 in words is "one trillion, six hundred fifty-one billion, seven hundred forty-one million, six hundred ten thousand, four hundred one".