1157451070801 has 9 divisors (see below), whose sum is σ = 1189619916849. Its totient is φ = 1126129878864.

The previous prime is 1157451070799. The next prime is 1157451070807. The reversal of 1157451070801 is 1080701547511.

The square root of 1157451070801 is 1075849.

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

It can be written as a sum of positive squares in 4 ways, for example, as 571307710801 + 586143360000 = 755849^2 + 765600^2 .

It is not a de Polignac number, because 1157451070801 - 2¹ = 1157451070799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1157451070807) 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, 39791875 + ... + 39820951.

It is an arithmetic number, because the mean of its divisors is an integer number (132179990761).

Almost surely, 2^{1157451070801} is an apocalyptic number.

1157451070801 is the 1075849-th square number.

1157451070801 is the 537925-th centered octagonal number.

It is an amenable number.

1157451070801 is a deficient number, since it is larger than the sum of its proper divisors (32168846048).

1157451070801 is an frugal number, since it uses more digits than its factorization.

1157451070801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58228 (or 29114 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 40.

The spelling of 1157451070801 in words is "one trillion, one hundred fifty-seven billion, four hundred fifty-one million, seventy thousand, eight hundred one".