1353120251 has 16 divisors (see below), whose sum is σ = 1632408000. Its totient is φ = 1119815424.

The previous prime is 1353120227. The next prime is 1353120257. The reversal of 1353120251 is 1520213531.

It is a happy number.

It is not a de Polignac number, because 1353120251 - 2²⁶ = 1286011387 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1353120257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58070 + ... + 77963.

It is an arithmetic number, because the mean of its divisors is an integer number (102025500).

Almost surely, 2^1353120251 is an apocalyptic number.

1353120251 is a deficient number, since it is larger than the sum of its proper divisors (279287749).

1353120251 is an equidigital number, since it uses as much as digits as its factorization.

1353120251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136083 (or 136069 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1353120251 is about 36784.7828728130. The cubic root of 1353120251 is about 1106.0602835271.

Adding to 1353120251 its reverse (1520213531), we get a palindrome (2873333782).

The spelling of 1353120251 in words is "one billion, three hundred fifty-three million, one hundred twenty thousand, two hundred fifty-one".