1353406164525 has 144 divisors (see below), whose sum is σ = 2598570823680. Its totient is φ = 670955673600.

The previous prime is 1353406164503. The next prime is 1353406164611. The reversal of 1353406164525 is 5254616043531.

It is a happy number.

1353406164525 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 4 + 0 + 61 + 64 + 525 = 666.

It is not a de Polignac number, because 1353406164525 - 2⁸ = 1353406164269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153251860 + ... + 153260690.

It is an arithmetic number, because the mean of its divisors is an integer number (18045630720).

Almost surely, 2^{1353406164525} is an apocalyptic number.

1353406164525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1353406164525 is a deficient number, since it is larger than the sum of its proper divisors (1245164659155).

1353406164525 is a wasteful number, since it uses less digits than its factorization.

1353406164525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9356 (or 9348 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 1353406164525 in words is "one trillion, three hundred fifty-three billion, four hundred six million, one hundred sixty-four thousand, five hundred twenty-five".