1504545106801 has 9 divisors (see below), whose sum is σ = 1653771022603. Its totient is φ = 1367756012920.

The previous prime is 1504545106783. The next prime is 1504545106819. The reversal of 1504545106801 is 1086015454051.

The square root of 1504545106801 is 1226599.

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

It is an interprime number because it is at equal distance from previous prime (1504545106783) and next prime (1504545106819).

It can be written as a sum of positive squares in only one way, i.e., 224343375201 + 1280201731600 = 473649^2 + 1131460^2 .

It is not a de Polignac number, because 1504545106801 - 2⁹ = 1504545106289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1504545106871) 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, 13436835 + ... + 13548343.

Almost surely, 2^{1504545106801} is an apocalyptic number.

1504545106801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1504545106801 is the 1226599-th square number.

1504545106801 is the 613300-th centered octagonal number.

It is an amenable number.

1504545106801 is a deficient number, since it is larger than the sum of its proper divisors (149225915802).

1504545106801 is an frugal number, since it uses more digits than its factorization.

1504545106801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223040 (or 111520 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 40.

The spelling of 1504545106801 in words is "one trillion, five hundred four billion, five hundred forty-five million, one hundred six thousand, eight hundred one".