1653409801 has 2 divisors, whose sum is σ = 1653409802. Its totient is φ = 1653409800.

The previous prime is 1653409759. The next prime is 1653409837. The reversal of 1653409801 is 1089043561.

1653409801 = T₃₃₁₉₉ + T₃₃₂₀₀ + T₃₃₂₀₁.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1564598025 + 88811776 = 39555^2 + 9424^2 .

It is a cyclic number.

It is not a de Polignac number, because 1653409801 - 2¹¹ = 1653407753 is a prime.

It is not a weakly prime, because it can be changed into another prime (1653409601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 826704900 + 826704901.

It is an arithmetic number, because the mean of its divisors is an integer number (826704901).

Almost surely, 2^1653409801 is an apocalyptic number.

1653409801 is the 33201-st centered triangular number.

It is an amenable number.

1653409801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1653409801 is an equidigital number, since it uses as much as digits as its factorization.

1653409801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 1653409801 is about 40662.1421103217. The cubic root of 1653409801 is about 1182.4791792957.

It can be divided in two parts, 165 and 3409801, that added together give a triangular number (3409966 = T₂₆₁₁).

The spelling of 1653409801 in words is "one billion, six hundred fifty-three million, four hundred nine thousand, eight hundred one".