10201751153 has 36 divisors (see below), whose sum is σ = 12005838180. Its totient is φ = 8662139200.

The previous prime is 10201751141. The next prime is 10201751173. The reversal of 10201751153 is 35115710201.

10201751153 = 247² + 248² + ... + 3128².

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5614804624 + 4586946529 = 74932^2 + 67727^2 .

It is not a de Polignac number, because 10201751153 - 2¹² = 10201747057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201751173) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77875898 + ... + 77876028.

It is an arithmetic number, because the mean of its divisors is an integer number (333495505).

Almost surely, 2^10201751153 is an apocalyptic number.

It is an amenable number.

10201751153 is a deficient number, since it is larger than the sum of its proper divisors (1804087027).

10201751153 is an frugal number, since it uses more digits than its factorization.

10201751153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

The spelling of 10201751153 in words is "ten billion, two hundred one million, seven hundred fifty-one thousand, one hundred fifty-three".